Sentence Examples


  • (iv.) In algebra we have a theory of highest common factor and lowest common multiple, but it is different from the arithmetical theory of greatest common divisor and least common multiple.
  • Algebraical division therefore has no definite meaning unless dividend and divisor are rational integral functions of some expression such as x which we regard as the root of the notation (� 28 (iv.)), and are arranged in descending or ascending powers of x.
  • If n is a divisor of N,
  • If the greatest common divisor of N and n be d, a number less than n, so that n=md, N~Md; then a=mN=Mn=Mmd; b=M; c=m.
  • They there fore study that the numbers of teeth in each pair of wheels whici work together shall either be prime to each other, or shall hav their greatest common divisor as small as is consistent with velocity ratio suited for the purposes of the machine.

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